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VERSION:2.0
PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:On infinite\, sharply 2-transitive groups
DTSTART:20130924T101500
DTSTAMP:20260510T040525Z
UID:9ed8c683d4b66fb7b37172e9f263f2ca50422f2628b9d5532e9ac694
CATEGORIES:Conferences - Seminars
DESCRIPTION:Yoav Segev [Ben Gurion]\nLet G be a sharply 2-transitive permu
 tation group on a set X. Then\, it is easy to see that G contains ``many''
  involutions (i.e. elements of order 2). Let Inv(G) be the set of all invo
 lutions in G. In all known examples of G as above the SET Inv(G)2 of all p
 roducts of two involutions in G forms an abelian normal regular (i.e. shar
 ply 1-transitive) subgroup of G. However the efforts to prove\, or disprov
 e that this is true for every G as above have failed consistently\, for a 
 long time now\, in spite of attempts made by some well known mathematician
 s. I will discuss this conjecture and present some known facts and some pa
 rtial new results.
LOCATION:Ma A1 12
STATUS:CONFIRMED
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